4046937984 has 128 divisors (see below), whose sum is σ = 12572928000. Its totient is φ = 1277959680.

The previous prime is 4046937967. The next prime is 4046938001. The reversal of 4046937984 is 4897396404.

It is a happy number.

4046937984 is a `hidden beast` number, since 404 + 6 + 93 + 79 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (4046937967) and next prime (4046938001).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4046937984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34849 + ... + 96479.

It is an arithmetic number, because the mean of its divisors is an integer number (98226000).

Almost surely, 2^4046937984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4046937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286464000).

4046937984 is an abundant number, since it is smaller than the sum of its proper divisors (8525990016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4046937984 is a wasteful number, since it uses less digits than its factorization.

4046937984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61673 (or 61655 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4046937984 is about 63615.5482881347. The cubic root of 4046937984 is about 1593.5860392158.

The spelling of 4046937984 in words is "four billion, forty-six million, nine hundred thirty-seven thousand, nine hundred eighty-four".